Local limit theorem in deterministic systems
DOI10.1214/21-AIHP1169zbMath1500.37008arXiv1905.05164OpenAlexW4210319492WikidataQ113752000 ScholiaQ113752000MaRDI QIDQ2078027
Publication date: 25 February 2022
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.05164
Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50)
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Cites Work
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- Un théorème de la limite locale pour une classe de transformations dilatantes et monotones par morceaux
- Théorèmes limites pour une classe de chaînes de Markov et applications aux difféomorphismes d'Anosov. (Limit theorems for a class of Markov chains and applications to Anosov diffeomorphisms)
- On coding a stationary process to achieve a given marginal distribution
- On marginal distributions and isomorphisms of stationary processes
- On central limit theorems, modulus of continuity and Diophantine type for irrational rotations
- Sums of continuous and differentiable functions in dynamical systems
- Distributional limits of positive, ergodic stationary processes and infinite ergodic transformations
- Berry--Esseen theorem and local limit theorem for non uniformly expanding maps
- LIMIT LAWS FOR ERGODIC PROCESSES
- On sums of indicator functions in dynamical systems
- On the Central Limit Theorem for Dynamical Systems
- On Weak Convergence in Dynamical Systems to Self-Similar Processes with Spectral Representation
- Invariance principles and Gaussian approximation for strictly stationary processes
- LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS
- APERIODICITY OF COCYCLES AND CONDITIONAL LOCAL LIMIT THEOREMS
- Independence and Alpern multitowers
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